The eccentricity of conic 9x^2 – 16y^2 = 144 is

by

Q: The eccentricity of conic 9x2 – 16y2 = 144 is

(A) 4/5

(B) 5/4

(C) 4/3

(D) √7

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Ans: (B)
Sol: Hyperbola is $\large \frac{x^2}{16} – \frac{y^2}{9} = 1$

b2 = a2(e2 – 1)

⇒ 9 = 16(e2 – 1)

⇒ e = 5/4